Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue

DOI10.1007/s11228-013-0234-7zbMath1301.49037OpenAlexW2124396584MaRDI QIDQ456981

Sara Grundel, Michael L. Overton

Publication date: 26 September 2014

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-013-0234-7

zbMATH Keywords

spectral abscissasubgradientvariational analysisdefective multiple eigenvaluedegenerate eigenvaluederogatory eigenvaluenon-generic multiple eigenvalue

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Variational analysis of convexly generated spectral max functions

Cites Work

• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler
• Optimizing matrix stability
• Variational Analysis
• On Minimizing the Special Radius of a Nonsymmetric Matrix Function: Optimality Conditions and Duality Theory
• Stabilization via Nonsmooth, Nonconvex Optimization
• ON MATRICES DEPENDING ON PARAMETERS
• Variational analysis of non-Lipschitz spectral functions

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